12101100041 has 2 divisors, whose sum is σ = 12101100042. Its totient is φ = 12101100040.

The previous prime is 12101100031. The next prime is 12101100047. The reversal of 12101100041 is 14000110121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12101100025 + 16 = 110005^2 + 4^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12101100041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101099995 and 12101100031.

It is not a weakly prime, because it can be changed into another prime (12101100047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050550020 + 6050550021.

It is an arithmetic number, because the mean of its divisors is an integer number (6050550021).

Almost surely, 2^12101100041 is an apocalyptic number.

It is an amenable number.

12101100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101100041 is an equidigital number, since it uses as much as digits as its factorization.

12101100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12101100041 its reverse (14000110121), we get a palindrome (26101210162).

The spelling of 12101100041 in words is "twelve billion, one hundred one million, one hundred thousand, forty-one".